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Finding the Fourth Proportional to 316,390, 474,590.94 and 147,864.10

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Solution

The fourth proportional to 316,390, 474,590.94 and 147,864.10 is: 221,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,390 : 474,590.94 = 147,864.10 : x
  2. Step 2: Convert to fraction form
    316,390/474,590.94 = 147,864.10/x
  3. Step 3: Cross multiply
    316,390x = 474,590.94 × 147,864.10
  4. Step 4: Simplify right side
    316,390x = 70,174,962,211.25
  5. Step 5: Solve for x
    x = 70,174,962,211.25/316,390
  6. Step 6: Final answer
    x = 221,798.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.